Periodic solutions to nonlinear nonautonomous system of differential equations

M. T. Teryokhin, O. V. Baeva

Ryazan State University S. A. Esenin, 46 Svobody str., Ryazan, 390000 Russia

Abstract: We prove a theorem on the existence of nonzero periodic solution to a system of differential eguations by the method of fixed point of nonlinear operator defined on a topological product of two compact sets.

Keywords: nonlinear ordinary differential equations dependent from small parameters, nonzero periodical solutions, principle of contracted mappings and Bohl–Brower theorem about fixed point.

UDC: 517.925

Received: 11.12.2015

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:5, 73–82

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